M
Parallel Generation of Large Bipartite Subgraphs in Cubic Graphs
We consider the problem of finding in parallel a Maximum Bipartite
Subgraph of a cubic graph G(V,E), that is known to be NP-complete
even if the graph is triangle-free. We approach the problem as a Max
Cut one. We analyze the solution structure according to the degree of
vertices in the bipartition and to the odd girth g of the graph,
showing that the number of edges in the bipartite subgraph is at least
{{9g-3} / {8g}}|V|. The result of a wide experimentation rounds
off the paper.